45 citations · 146 across the 29 of their papers we have counts for
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math-ph2015★ 9 cited
Fractal AC circuits and propagating waves on fractals
Eric Akkermans, Joe P. Chen, Gerald Dunne +2
We extend Feynman's analysis of the infinite ladder AC circuit to fractal AC circuits. We show that the characteristic impedances can have positive real part even though all the in…
math.CO2015
Embedding convex geometries and a bound on convex dimension
Michael Richter, Luke G. Rogers
The notion of an abstract convex geometry offers an abstraction of the standard notion of convexity in a linear space. Kashiwabara, Nakamura and Okamoto introduce the notion of a g…
math-ph2015
Magnetic fields on resistance spaces
Michael Hinz, Luke Rogers
On a metric measure space that supports a regular, strongly local resistance form we consider a magnetic energy form that corresponds to the magnetic Laplacian for a particle c…